A generalization of finite-dimensional Iwanaga-Gorenstein algebras

Mardi 3 octobre 2017 15:45-16:45 - Sondre Kvamme - Université Paris-Sud

Résumé : We will introduce certain well-behaved comonads on abelian categories, which can be used to generalize features of the module category of a finite dimensional algebra. In particular, we obtain an analogue of the Nakayama functor. Using this, we will define Gorenstein flat objects relative to the comonad, which generalize Gorenstein projective modules. We will also define what it means for the comonad to be Gorenstein, and state an analogue of a classical results for Iwanaga-Gorenstein algebras. We will illustrate the constructions and results on specific examples.

Lieu : Bât. 425, salle 117-119

Notes de dernières minutes : Journée de rentrée de l’equipe AGA

A generalization of finite-dimensional Iwanaga-Gorenstein algebras  Version PDF